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56576052 = 223213120889
BaseRepresentation
bin1101011111010…
…0100000110100
310221110100202100
43113310200310
5103440413202
65340342100
71254613521
oct327644064
9127410670
1056576052
1129a32475
1216b44930
13b94b670
14772a148
154e7841c
hex35f4834

56576052 has 36 divisors (see below), whose sum is σ = 154013860. Its totient is φ = 17407872.

The previous prime is 56576033. The next prime is 56576057. The reversal of 56576052 is 25067565.

56576052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22982436 + 33593616 = 4794^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56575998 and 56576016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56576057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59977 + ... + 60912.

Almost surely, 256576052 is an apocalyptic number.

56576052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56576052 is an abundant number, since it is smaller than the sum of its proper divisors (97437808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56576052 is a wasteful number, since it uses less digits than its factorization.

56576052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120912 (or 120907 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 56576052 is about 7521.7053917313. The cubic root of 56576052 is about 383.8936065924.

The spelling of 56576052 in words is "fifty-six million, five hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 120889 241778 362667 483556 725334 1088001 1450668 1571557 2176002 3143114 4352004 4714671 6286228 9429342 14144013 18858684 28288026 56576052